BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:From patterns in turbulence to the buckling of shells – the role
  of unstable invariant solutions in nonlinear mechanics
DTSTART:20210506T121500
DTEND:20210506T131500
DTSTAMP:20260916T225631Z
UID:241e2d46b6cb1da3b07e1fc6b32463b61cdd136cd403d0b3e4c12c0d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Tobias Schneider Emergent Complexity in Physical Systems
  Laboratory\, EPFL Lausanne\nAbstract: \nThe transition to turbulence of 
 fluid flows is ubiquitous\, arising in our every-day experience when we ri
 de a bicycle or take off in an airplane. Despite this ubiquity\, the lamin
 ar-turbulent transition in wall-bounded flows is one of the least understo
 od phenomena in fluid mechanics. During transition\, the flow may self-org
 anize into patterns with regular spatial and temporal structure\, whose or
 igins remain unexplained. A canonical flow exhibiting a large variety of c
 omplex spatio-temporal flow patterns is thermal convection in a fluid laye
 r between two parallel plates kept at different temperature and inclined a
 gainst gravity. We study the dynamics of the so-called inclined layer conv
 ection (ILC) system\, using a fully nonlinear dynamical systems approach b
 ased on a state space analysis of the governing equations. Exploiting the 
 computational power of our highly parallelized numerical continuation tool
 s (www.channelflow.ch)\, we construct a large set of invariant solutions o
 f ILC and discuss their bifurcation structure. We show that unstable equil
 ibria\, travelling waves\, periodic orbits and heteroclinic orbits form dy
 namical networks that support moderately complex chaotic dynamics.\nThe in
 troduced nonlinear dynamical systems methods centered around invariant sol
 utions are not only revolutionizing our understanding of fluid turbulence 
 but they may also help explain complex behaviour in other intrinsically no
 nlinear mechanical systems. We will specifically argue that unstable elast
 ic equilibria control when thin-walled cylindrical shells such as rocket w
 alls or soda cans buckle and collapse. This may open avenues towards predi
 cting the notoriously imperfect-sensitive load-carrying capacity of shell 
 structures without prior knowledge of the shell’s defects.
LOCATION:https://ethz.zoom.us/j/94817809233?pwd=N0pzbnQwSFFTQnVPcVR3SkNrd2
 9OQT09
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR